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Finding the Fourth Proportional to 2,467.43, 3,697.90 and 1,169.27

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Solution

The fourth proportional to 2,467.43, 3,697.90 and 1,169.27 is: 1,752.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,467.43 : 3,697.90 = 1,169.27 : x
  2. Step 2: Convert to fraction form
    2,467.43/3,697.90 = 1,169.27/x
  3. Step 3: Cross multiply
    2,467.43x = 3,697.90 × 1,169.27
  4. Step 4: Simplify right side
    2,467.43x = 4,323,822.12
  5. Step 5: Solve for x
    x = 4,323,822.12/2,467.43
  6. Step 6: Final answer
    x = 1,752.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.